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Thread Tensile Stress Area Calculator

Calculate the tensile stress area (As) for metric and unified inch threads per ISO 898 / ASME B1.1. The stress area is essential for computing bolt tensile strength, proof load, and tightening torque.

Calculator

Reference — Metric Coarse Thread Stress Areas

Threadd (mm)P (mm)As (mm²)
M3×0.530.55.03
M4×0.740.78.78
M5×0.850.814.2
M6×1.06120.1
M8×1.2581.2536.6
M10×1.5101.558
M12×1.75121.7584.3
M14×2.0142115
M16×2.0162157
M18×2.5182.5192
M20×2.5202.5245
M22×2.5222.5303
M24×3.0243353
M27×3.0273459
M30×3.5303.5561
M33×3.5333.5694
M36×4.0364817
M42×4.5424.51120
M48×5.04851470

Formula & Standards

Tensile Stress Area (ISO 898 / ASME B1.1):

As = (π / 4) × (d − 0.9382 × P)²

Where:

  • d = Nominal (major) diameter of bolt thread (mm)
  • P = Thread pitch (mm); for inch threads, P = 25.4 / TPI
  • 0.9382 = Coefficient derived from H/6 + H/4, where H = 0.866025 × P (60° thread profile)

Reference: ISO 898-1:2013, ASME B1.1-2019. This area is used to calculate proof loads and tensile strengths (F = As × σ). For shear stress area of threads, separate calculation per ISO 898-2 applies.

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